Download Answer Key

7th/8th grade Math Meet ‘12
Name:_________________________ School Team:___________________
Event 1: Problem Solving (no calculators)
Part 1: Computation (2 pts. each)
1) 1/2 + 1/x + 3/10 = 1
X=5
2) 20% of 15 = x % of 12
X = 25
3) 100 - x = (2)(3)(4) + 36
X = 40
4) 0.36 ÷ x = 4.0
X = 0.09
5) 18/42 = x/35
X = 15
7th/8th grade Math Meet ‘12
Name:_____________________ School Team:_____________________
Event 1: Problem Solving (no calculators)
Part 2: Problems Involving Order of Operations (2 pts. each)
Use the order of operations to evaluate each problem.
1) 3 − 2 + 3 • 3 −
9
7
2) 3 + 8 ÷ 4 − 0 / 5 + 16
9
3)
9 + 7 − 2(3)
3+ 2
2
4) 36 − 6 2 ÷ 9 − 2
30
5) 3(2 2 + 1) − 30 ÷ 3
5
7th/8th grade Math Meet ‘12
Name:___________________________ School Team:_______________
Event 2: Conversions. (with calculators)
(5 points each)
12 inches = 1 foot
3 feet = 1 yard
1 mile = 5280 feet
3 teaspoons (t) = 1 Tablespoon (T)
8 ounces (oz) = 1 cup ( c )
2 cups ( c ) = 1 pint (pt)
2 pints (pt) = 1 quart (qt)
2 tablespoons (T) = 1 ounce (oz)
4 quarts (qt) = 1 gallon (gal)
Perform the following conversions, using the unit ratios. When necessary, round
answers to the nearest hundredth.
1) How many inches are in 2 1
3
yards?
84 inches
2) How many cups are in 4 quarts?
16 cups
3) How many ounces are in 6 pints?
96 ounces
4) How many yards are in 3 miles?
5280 yards
5) How many teaspoons are in 1 ½ cups?
72 teaspoons
7th/8th grade Math Meet ‘12
Name:___________________________School Team:________________
Event 3: Problem Solving (with calculators)
Part 1: Adding and Subtracting Mixed Numbers. (3 points each)
Add or Subtract.
Write answers as mixed numbers in reduced form. No decimal answers!
1)
1
5
8
+ 2
1
2
1
8
_______________
= 4
2)
1
6
1
2
+
+
2
3
1
3
_______________
=1
3)
9
16
−
3
8
3
16
_______________
=
4)
9
1
5
− 4
4
16
15
16
_______________
= 4
5)
9
1
32
− 3
3
8
21
32
_______________
= 5
7th/8th grade Math Meet ‘12
Name:______________________School Team:_________________
Event 3: Problem Solving (with calculators)
Part 2: Multiplying and Dividing Mixed Numbers (4 points each)
Multiply or Divide.
Write answers as mixed numbers in reduced form. No decimal answers!
1)
 1  1 
 7 
 2  3
2
3
_______________
= 3
2)
 1 4
9  3 
 2 5
1
10
_______________
= 36
3)
 3
 1
 3  ÷ 1 
 4
 2
1
2
_______________
= 2
4)
 5
 1
 5  ÷ 1 
 6
 14 
4
9
_______________
= 5
5)
 1
3 
 4
2
9
16
_______________
= 10
7th/8th grade Math Meet ‘12
Name:________________________School Team:_________________
Event 4: Mental Math (no calculators)
Each answer is worth 2 pt each.
1) __________50________________
6) ___________5______________
2) __________58________________
7) ____________1______________
3) __________24________________
8) ____________36_____________
4) __________9/20_______________
9) ____________2______________
5) ____________4_______________
10) ____________10_____________
7th/8th grade Math Meet ‘12
Event 5: Team Problems (with calculators)
Area, Perimeter, Circumference, Surface Area and Volume Formulas
b = base of the polygon
h = height of the polygon
b1 = the first base
b2 = the second base
r = radius
Area (A)
Perimeter (P) and Circumference ( C )
Square
Rectangle
Parallelogram
Trapezoid
Circle
A = (b)(h)
A = (b)(h)
A = (b)(h)
A = ½ h (b1 + b2 )
A = π r2
P = the sum of the sides of the polygon
C = 2rπ
Surface Area (SA)
Volume (V)
p = perimeter
h = height of figure
s = slant height of figure
B = AREA of the base of the figure
Examples of figures:
Prism
SA = ph + 2B
V = Bh
Cylinder
SA = Ch + 2B
V = Bh
Pyramid
SA =
rs + B
V= 1
Cone
SA =
rs + B
V= 1
Sphere
SA = 4
V=
3
3
Bh
Bh
7th/8th grade Math Meet ‘12
Name:__________________________School Team:____________________
Event 5: Team Problems (with calculators)
Problem 1: Area & Perimeter Problems involving Polygons
(5 points each) LABEL YOUR ANSWERS! You must use
1) An illuminated sign in the main entrance of a hospital is a parallelogram with a
base of 56 in. and an adjacent side of 42 in. How many inches of aluminum
molding are needed to frame the sign?
196 inches
2) The square parking lot of a doctor’s office is to have curbs built on all four sides.
If the lot is 160 ft on each side, how many feet of curb are needed? Allow 12 ft for
a driveway into the parking lot.
628 feet
3) The six glass panes in a kitchen light fixture each measure 4 ½ in. along the top
and 10 in. along the bottom. The top and bottom are parallel. The height of each
pane is 8 in. What is the combined area of the six trapezoidal panes?
348 square inches
4) Tiles that are 6 in. x 6 in. cover the floor of a shower. How many whole tiles are
needed for the floor if the shower measures 4.5 ft by 6 ft?
108 tiles
5) Madison Duke is wallpapering the walls of a laundry room 8 ft by 8 ft by 8 ft high.
How many square feet of paper will she need if there are 63 square feet of
openings in the room?
193 square feet
7th/8th grade Math Meet ‘12
Name:__________________________School Team:______________
Event 5: Team Problems (with calculators)
Problem 2: Area & Circumference Problems involving Circles.
(5 points each) LABEL YOUR ANSWERS! You must use
1) Find to the nearest inch the circumference of a circle with a radius of 1 ft 9 in.
132 inches
2) Find the area to the nearest square inch of the top of a circular tank with a
diameter of 12 ft 8 in.
18,137 square inches
3) A 15-in. diameter wheel has a 3-in. hole in the center. Find the area of a side of
the wheel to the nearest tenth.
169.6 square inches
4) Sam has a circular pool with a diameter of 30 feet. There is a 3 foot wide
walkway that goes around the pool. How much fencing is needed to go around the
walkway? Round answer to the nearest tenth.
113.0 feet
5) A swimming pool is circular with a diameter of 30 feet. There is a 5 foot wide
walkway surrounding the pool. What is the area of the walkway? Round to the
nearest tenth.
549.5 square feet
7th/8th grade Math Meet ‘12
Name:_____________________School Team:__________________
Event 5: Team Problems (with calculators)
Problem 3: Surface Area Application Problems.
(5 points each) LABEL YOUR ANSWERS! You must use
1) How many square inches are in the total surface area of an aluminum box with a
2 ½ in. length, 4 ¾ in. height, and 3 in. width? Round to the nearest hundredth.
67.25 square inches
2) How many square centimeters of sheet metal are needed to form a conical rain
cap 25 cm in diameter if the slant height is 15 cm? Round to the nearest
hundredth.
1079.38 square centimeters
3) What is the total surface area of a cylindrical oil storage tank that has a 40-ft
diameter and 15-ft height?
4396 square feet
4) How many square feet of steel are needed to manufacture a spherical water tank
with a diameter of 45 ft? Round to the nearest tenth.
6358.5 square feet
5) Find the total surface area of a conical tank that has a radius of 15 ft and a slant
height of 20 ft. Round to the nearest tenth.
1648.5 square feet
7th/8th grade Math Meet ‘12
Name:_____________________________School Team:________________
Event 5: Team Problems (with calculators)
Problem 4: Application Problems involving Volume.
(5 pts. each) LABEL YOUR ANSWERS! You must use
1) What is the volume of a cylindrical oil storage tank that has a 40-ft diameter and
15-ft height? Round to the nearest whole number.
18,840 cubic feet
2) How many cubic feet are in a conical pile of sand that is 30 ft in diameter and is
20 ft high?
4710 cubic feet
3) A cone-shaped storage container holds a photographic chemical. If the container
is 80 cm wide and 30 cm high, how many liters of the chemical does it hold if 1 L =
1,000 cm3 ? Round to nearest whole liter.
50 liters
4) Find the volume of a pyramid that has a square base of 48 m on a side and a height
of 100 m.
76,800 cubic meters
5) If 1 ft3 = 7.48 gal, how many gallons can a spherical water tank hold if its diameter
is 45 ft? Round to nearest whole gallon.
6,376 gallons